138856506888960 has 864 divisors, whose sum is σ = 575267598601920. Its totient is φ = 31623943421952.

The previous prime is 138856506888943. The next prime is 138856506889027. The reversal of 138856506888960 is 69888605658831.

138856506888960 is a `hidden beast` number, since 1 + 388 + 56 + 50 + 6 + 8 + 8 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×138856506888960² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138856506888960.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468934872 + ... + 469230888.

Almost surely, 2^{138856506888960} is an apocalyptic number.

138856506888960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138856506888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287633799300960).

138856506888960 is an abundant number, since it is smaller than the sum of its proper divisors (436411091712960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138856506888960 is a wasteful number, since it uses less digits than its factorization.

138856506888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296338 (or 296311 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 81.

The spelling of 138856506888960 in words is "one hundred thirty-eight trillion, eight hundred fifty-six billion, five hundred six million, eight hundred eighty-eight thousand, nine hundred sixty".